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Finding the Fourth Proportional to 43,644.04, 65,489.52 and 17,349

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Solution

The fourth proportional to 43,644.04, 65,489.52 and 17,349 is: 26,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,644.04 : 65,489.52 = 17,349 : x
  2. Step 2: Convert to fraction form
    43,644.04/65,489.52 = 17,349/x
  3. Step 3: Cross multiply
    43,644.04x = 65,489.52 × 17,349
  4. Step 4: Simplify right side
    43,644.04x = 1,136,177,682.48
  5. Step 5: Solve for x
    x = 1,136,177,682.48/43,644.04
  6. Step 6: Final answer
    x = 26,032.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.